Convergent finite element discretizations of the Navier-Stokes-Nernst-Planck-Poisson system

Andreas Prohl, Markus Schmuck

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

We propose and analyse two convergent fully discrete schemes to solve the incompressible
Navier-Stokes-Nernst-Planck-Poisson system. The first scheme converges to weak solutions satisfying
an energy and an entropy dissipation law. The second scheme uses Chorin’s projection method to
obtain an efficient approximation that converges to strong solutions at optimal rates.
Original languageEnglish
Pages (from-to)531-571
Number of pages41
JournalMathematical Modelling and Numerical Analysis
Volume44
Issue number03
DOIs
Publication statusPublished - May 2010

Keywords

  • Electrohydrodynamics
  • Space-time discretization
  • Finite elements
  • Convergence analysis

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